How to Invert the Mac Screen Colors in OS X Mavericks & Mountain Lion

Inverting the colors of a Mac display is a fairly common accessibility feature, and it’s also pretty handy for when you’re reading at night because it puts most screen text into a white on black mode like iOS.
Prior versions of Mac OS X let you invert the display by hitting the Command+Option+Control+8 keyboard shortcut, but OS X Mavericks and Mountain Lion have changed that. From 10.8, 10.9, onward you’ll need to do the following instead:

Note the actual colors drawn on screen are not being changed, it’s only the display of them that has been inverted. This means if you take a screenshot it will still display as usual, and colors chosen in a color picker will remain their original choice.

To disable the inverse display coloration and get back to normal, just hit Command+Option+F5 again and uncheck the invert box.

It was not by accident or spite this was left unchecked by default in Mountain Lion.
Prior to this a lot of people were calling up AppleCare every week, saying ‘there’s something wrong with my screen’, and it was just a case of cmd-alt-ctrl-8 pressed by accident; you’d be surprised how often this happens. And some of them were not even calling up, but taking it straight to the Genius Bar.

So is there a way to take a screenshot with the colors inverted (and have it stay that way)? Every time I’ve tried the colors just go back to normal when I switch back, is there a way to capture this on screen?